“The first part of the meeting was a public-relations situation,” Ms. Cruz said in an interview with CNN about the briefing she attended with the president. While she said the White House staff was helpful and receptive, Mr. Trump’s communications style sometimes “gets in the way.”

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Mr. Trump shook hands with Carmen Yulín Cruz, right, the mayor of San Juan, but did not ask her to speak on Tuesday during a briefing held at an air base.Credit
Doug Mills/The New York Times

“I would hope that the president of the United States stops spouting out comments that really hurt the people of Puerto Rico,” she said, “because, rather than commander in chief, he sort of becomes miscommunicator in chief.”

Mr. Trump greeted the mayor but did not invite her to speak, recognizing instead Puerto Rico’s governor, whom the president said “did not play politics,” and its congressional representative, who lavishly applauded the administration’s performance.

“Thank you, Mr. President, for all you have been doing for the island,” said Jenniffer González-Colón, the territory’s nonvoting representative, who declared that Washington had sent everything Puerto Rico needed.

“You were really generous,” Mr. Trump replied. “It’s so important when you have men and women that have worked so hard and so long, and many of them came from two other catastrophic hurricanes.”

The president then went around the briefing table, praising the director of the Federal Emergency Management Agency, military commanders and a half-dozen members of his cabinet who accompanied him to Puerto Rico — which was already facing about $74 billion in debt even before the hurricane hit.

In singling out Mick Mulvaney, his budget director, Mr. Trump said, “I hate to tell you, Puerto Rico, but you’ve thrown our budget a little out of whack.” Looking around the room for his chief of staff, John F. Kelly, who was standing in the back, Mr. Trump said, “Boy, is he watching.”

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Before leaving the White House on Tuesday, Mr. Trump told reporters he believed Ms. Cruz was now mostly satisfied.

Video

Amid Promises of Aid, a Puerto Rico Still in Ruins

President Trump said Puerto Ricans should be “proud” of the low death toll after Hurricane Maria. But a tour of the island by New York Times reporters showed that vast humanitarian and logistical challenges remain.

By DEBORAH ACOSTA and NATALIE RENEAU on Publish Date October 3, 2017.

Photo by Deborah Acosta/The New York Times.

Watch in Times Video »

“I think she’s come back a long way,” he said. “I think it’s now acknowledged what a great job we’ve done.” He asserted that the relief effort was as effective as those in Texas and Florida, and he added, “It’s actually a much tougher situation.”

Mr. Trump, however, repeated his earlier criticism that some Puerto Ricans were not doing enough to help themselves. Despite the roads being cleared and communications being re-established, he said, truck drivers were not transporting enough supplies. “We need their truck drivers to start driving trucks,” he said. “On a local level, they have to give us more help.”

On Saturday, after Ms. Cruz angrily disputed the administration’s assertion that the relief effort was going well, the president fired back in a Twitter post that she had been instructed by Democrats to be “nasty to Trump,” and added that Puerto Ricans “want everything to be done for them.”

White House officials were nervous that Mr. Trump would be set off again if he were greeted by protesters in Puerto Rico. As late as Monday afternoon, some aides were urging the president to delay the visit, which came a day before he was scheduled to fly to Las Vegas to meet with law enforcement officials and victims of Sunday’s mass shooting there.

There were a few other signs of discontent on Tuesday. As Mr. Trump’s motorcade drove from an air base to a church — passing hundreds of downed trees — it also passed a woman clutching a placard that said, “You are a bad hombre,” according to a pool report.

Sitting in a traffic jam near the San Juan airport before the arrival of Air Force One, a resident, Jaime Vega, disputed Mr. Trump’s claim that Puerto Ricans should be doing more to help their own recovery. “We are doing,” he said. “It’s only now that they are doing something.”

“Let him come so he can see what there really is, and so nobody can tell him made-up stories,” said Mr. Vega, an accountant.

Outside a bar in the Santurce neighborhood of San Juan, an hour after Air Force One departed Tuesday afternoon, people debated what Mr. Trump’s visit might have accomplished.

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“He was just measuring Puerto Rico by the amount of dead compared to Katrina,” said José Tormos, 62, an employee of the local government in Guaynabo. “FEMA’s response has been too slow.”

Others have noted that the actual death toll from Hurricane Maria may rise significantly, given that the current, certified number is outdated and that the island government’s record-keeping ability has been damaged by the storm.

Marlene Martinez, 51, an accountant, said, “It’s just an example of how we’re treated like second-class citizens.”

Others were more concerned about the reconstruction of the island and their own precarious situations than Mr. Trump’s comments.

“The people of Puerto Rico don’t care whether Trump is the god or the devil,” said Edgardo Tormos, 58. “This is about the recovery of Puerto Rico.”

Still, others seemed happy just to have the president in their midst. In a 20-minute visit to Calvary Chapel, an English-speaking evangelical church that has become a collection center for supplies, Mr. Trump shook hands, took selfies and offered encouragement in the chapel’s sanctuary.

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Mr. Trump tossed rolls of paper towels to storm victims on Tuesday at a church outside San Juan.Credit
Doug Mills/The New York Times

Jason Dennett, the church’s pastor, said he welcomed the idea of a visit when the Secret Service contacted him five days ago. “He offered his help to the people of Puerto Rico,” Mr. Dennett said. “He said he was here to help and that the support would continue.”

Mr. Trump boarded a Navy amphibious assault ship for meetings with the governors of Puerto Rico and the United States Virgin Islands. The White House asked the Virgin Islands’s governor, Kenneth E. Mapp, to fly to Puerto Rico because of the logistical complications of flying the president to those islands, parts of which have been severely damaged.

Mr. Trump has gotten used to being a kind of second responder, having traveled to Texas and Florida after two other hurricanes over the past two months. Since the weekend, Mr. Trump has sharply scaled back his Twitter posts about the hurricanes or other potentially charged issues.

But speaking to reporters on Tuesday, he continued to emphasize the government’s performance rather than the plight of the victims.

“In Texas and in Florida, we get an A-plus,” Mr. Trump said. “And I’ll tell you what, I think we’ve done just as good in Puerto Rico.”